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Precision Software Appli…tions Silver Collection 1
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Precision Software Applications Silver Collection Volume One (PSM) (1993).iso
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physcsxa.arj
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PLANETS.DAT
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1992-10-19
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POTTERS PROPERTY CHART techniques applied to planet calculations.
VALUES ARE IN METERS, KG AND SECONDS
------------------- CONSTANTS -----------------------
C = Speed of light 2.99792500E+8
G = Universal gravitational constant 6.6700000E-11
M(A) = Mass of the sun 1.9870000E+30
------------------ CALCULATED -----------------------
U = Mass per length constant = 2*C^2/G 2.6949188E+27
E(A) = Event diameter(sun) = M(A)/U 7.37313486E+2
----------------- PLANET CONSTANTS ------------------
MERCURY VENUS EARTH MARS JUPITER SATURN URANUS NEPTUNE PLUTO
E(R) = Planet orbital radius 5.7910000E+10 1.0820000E+11 1.4960000E+11 2.2790000E+11 7.7830000E+11 1.4274260E+12 2.8700000E+12 4.4960000E+12 5.9120000E+12
VEL(B) = Planet orbital velocity 4.78616937E+4 3.50180321E+4 2.97852756E+4 2.41241424E+4 1.30624756E+4 9.63856223E+3 6.80120940E+3 5.43357901E+3 4.74014677E+3
M(B) = Planet mass 3.2440000E+23 4.8690000E+24 5.9750000E+24 6.4350000E+23 1.9020000E+27 5.6940000E+26 8.7120000E+25 1.0310000E+26 5.5570000E+24
------------------ CALCULATED -----------------------
SIN(B) = VEL(B)/C 1.59649403E-4 1.16807566E-4 9.93529712E-5 8.04694661E-5 4.35717225E-5 3.21507784E-5 2.26863894E-5 1.81244661E-5 1.58114255E-5
COS(B) = (1-SIN(B)^2)^.5 9.99999987E-1 9.99999993E-1 9.99999995E-1 9.99999997E-1 9.99999999E-1 9.99999999E-1 1.00000000E+0 1.00000000E+0 1.00000000E+0
DEL(B1) = 1/COS(B)-1 1.27439661E-8 6.82200385E-9 4.93550645E-9 3.23766747E-9 9.4924757E-10 5.1683635E-10 2.5733615E-10 1.6424817E-10 1.2500068E-10
DEL(B2) = 1-COS(B) 1.27439660E-8 6.82200374E-9 4.93550645E-9 3.23766747E-9 9.4924757E-10 5.1683635E-10 2.5733615E-10 1.6424806E-10 1.2500057E-10
DEL(B3) = (SIN(B))^2/2 1.27439660E-8 6.82200370E-9 4.93550644E-9 3.23766749E-9 9.4924750E-10 5.1683628E-10 2.5733613E-10 1.6424814E-10 1.2500059E-10
DEL(B4) = E(A)/E(R) 1.27320581E-8 6.81435755E-9 4.92856609E-9 3.23525005E-9 9.4733841E-10 5.1653360E-10 2.5690365E-10 1.6399321E-10 1.2471473E-10
ENERGY(1) = M(B)*VEL(B)^2/2 3.7155831E+32 2.9853362E+33 2.6503984E+33 1.8725021E+32 1.6226748E+35 2.6449166E+34 2.0149309E+33 1.5219509E+33 6.2430093E+31
ENERGY(2) = U*E(D)*C^2 3.7121113E+32 2.9819903E+33 2.6466714E+33 1.8711040E+32 1.6194114E+35 2.6433676E+34 2.0115446E+33 1.5195887E+33 6.2287325E+31
ENERGY(3) = M(B)*DEL(B1)*C^2 3.7155831E+32 2.9853363E+33 2.6503984E+33 1.8725021E+32 1.6226750E+35 2.6449170E+34 2.0149311E+33 1.5219512E+33 6.2430137E+31
K1 = E(A) 7.37313486E+2 7.37313486E+2 7.37313486E+2 7.37313486E+2 7.37313486E+2 7.37313486E+2 7.37313486E+2 7.37313486E+2 7.37313486E+2
K2 = VEL(B)^2*E(R)/C^2/2 7.38003068E+2 7.38140801E+2 7.38351764E+2 7.37864421E+2 7.38799329E+2 7.37745538E+2 7.38554700E+2 7.38459620E+2 7.39003474E+2 1.7022065E-3
K3 = DEL(B1)*E(R) 7.38003077E+2 7.38140817E+2 7.38351765E+2 7.37864416E+2 7.38799383E+2 7.37745646E+2 7.38554757E+2 7.38459775E+2 7.39003999E+2 1.7027695E-3
K4 = DEL(B2)*E(R) 7.38003071E+2 7.38140805E+2 7.38351765E+2 7.37864416E+2 7.38799383E+2 7.37745646E+2 7.38554757E+2 7.38459276E+2 7.39003343E+2 1.7018828E-3
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Four DELTA calculations are listed.
1. DEL(B1) was calculated from SIN(B).
2. DEL(B2) yields a value close to DEL(B1) but deviates at high velocities.
3. DEL(B3) is the Newtonian approximation to DEL(B1).
4. DEL(B4) is listed to show the relationship between DELTA and RADIUS.
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Three ENERGY calculations are listed.
1. ENERGY(1) is the NEWTONIAN energy calculation.
2. ENERGY(2) was calculated using the ENERGY EVENT DIAMETER.
3. ENERGY(3) was calculated using MASS and DEL(B1).
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Keplers constant was calculated four ways.
1. K1 is simply the EVENT DIAMETER of the sun.
2. K2 was calculated from the orbital radius and velocity.
3. K3 was calculated using DEL(B1).
4. K4 was calculated using DEL(B2).
Examination of the data will show that K4 shows the least deviation.
I have not analyzed this but I suspect this is because the constants were calculated using DEL(B2).
I believe that good data would show K1 = K3.
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